It all depends upon which transliteration system you use. The Arabic language contains sounds that are not represented by letters in the English language. (and vice-versa. The Semitic languages have no "j" sound, as in John, Jesus, etc.). Most media have a stylebook that they use for such transliterations. Consequently, what spelling you see depends upon what media is doing the presentation.How do you spell باتريشيا ومقتضب - the "Libyan Strongman"?
Qaddafi, Gadhafi. Gaddafi, Khaddify, Kadhafi - or doesn't anyone really care?